Systems of Particles and Rotational Motion

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Question : 15
Total: 33
To maintain a rotor at a uniform angular speed of 200rads1, an engine needs to transmit a torque of 180 N m. What is the power required by the engine? (Note : uniform angular velocity in the absence of friction implies zero torque. In practice, applied torque is needed to counter frictional torque). Assume that the engine is 100% efficient.
Solution:  
Here, angular velocity, w=200rads1
Torque,τ=180Nm
Power, P=?
Power, P=τw
P=180×200=36000watt=36kW
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